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\frac{2a\left(a+6\right)}{2a\times 8a}
Divide \frac{1}{2a} by \frac{8a}{2a\left(a+6\right)} by multiplying \frac{1}{2a} by the reciprocal of \frac{8a}{2a\left(a+6\right)}.
\frac{a+6}{8a}
Cancel out 2a in both numerator and denominator.
\frac{2a\left(a+6\right)}{2a\times 8a}
Divide \frac{1}{2a} by \frac{8a}{2a\left(a+6\right)} by multiplying \frac{1}{2a} by the reciprocal of \frac{8a}{2a\left(a+6\right)}.
\frac{a+6}{8a}
Cancel out 2a in both numerator and denominator.